Theorems · Theorem · general topology
CauchyFilter.isDenseInducing_pureCauchy
∀ {α : Type u} [inst : UniformSpace α], IsDenseInducing CauchyFilter.pureCauchy- Defined in
- Mathlib.Topology.UniformSpace.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- UniformSpacestatement and proof · cited by 2,040
- IsDenseInducingstatement · cited by 56
- CauchyFilterstatement · cited by 19
- IsUniformInducing.isDenseInducingproof · cited by 11
- CauchyFilter.pureCauchystatement · cited by 9
- CauchyFilter.isUniformInducing_pureCauchyproof · cited by 6
- CauchyFilter.denseRange_pureCauchyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- CauchyFilter.extendproof · cited by 2